15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
STABILIZATION OF A CLASS OF NONLINEAR PROCESSES BY LINEAR FEEDBACK
L. Luyckx* M. Loccufier* E. Noldus*
* Automatic Control Department, Ghent University,
Technologiepark-Zwijnaarde 9, B-9052 Zwijnaarde - Ghent,
Belgium

We discuss the stabilization of a class of nonlinear systems describing the dynamics of a stirred tank chemical reactor. The stabilization is achieved using linear dynamic feedback. Several types of controllers are defined for which closed loop global asymptotic stability of the set point can be proved. We also discuss the case where the closed loop possesses several equilibrium states and the controller is designed to ensure global convergence of the set of the equilibria. The approach relies on the direct method of Lyapunov and uses concepts from dissipativity and passivity theory.
Keywords: process control, nonlinear systems, stabilization, PID control, Lyapunov methods
Session slot T-Tu-M08: Stabilization I/Area code 2c : Non-linear Systems